What would SB be without sarcasm?
Hope we were some help. I wore my Tilley to Coz in Dec, worked great, but decided I may order a second one with the green under the brim for use at sea as my current one is all natural and has a slight tendency to reflect the light coming up off the water back down into the eyes. My current one is over a decade old and is functionally in great shape, although many years of hard use have given it a somewhat mottled appearance despite washing and bleaching. But it is the best all around sun type hat I have ever had, great for camping, the lake, gardening, standing around at outdoor events, and of course, dive trips and boat rides. I encourage you to read the Tilley 'owners manual' before making your decision.
Good luck with your hat search, and have a great time in Cozumel. I know I did in Dec. and will again soon (although never soon enough).
Matt